Block #922,380

1CCLength 11★★★☆☆

Cunningham Chain of the First Kind · Discovered 2/4/2015, 10:34:35 AM · Difficulty 10.9155 · 5,892,671 confirmations

1CC
Cunningham Chain of the First Kind

A sequence where each prime is double the previous prime plus one.

Block Header
Block Hash
63083d95d4afb6f3e8785d598f26481e1a28753e50c282480429c93866e63146

Height

#922,380

Difficulty

10.915539

Transactions

5

Size

115.94 KB

Version

2

Bits

0aea60c9

Nonce

1,259,642,908

Timestamp

2/4/2015, 10:34:35 AM

Confirmations

5,892,671

Merkle Root

2cae56096d7e759aec444e9c4cf327fed5b4e9fb13ee9f2186e2e9661d925542
Transactions (5)
1 in → 1 out9.5800 XPM116 B
200 in → 1 out1040.2441 XPM28.95 KB
200 in → 1 out1039.2862 XPM28.93 KB
200 in → 1 out1020.7103 XPM28.93 KB
200 in → 1 out976.7389 XPM28.93 KB
Prime Chain Origin

This is the prime chain origin stored in the block header. It is a composite number (not prime itself) — it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

6.840 × 10⁹⁶(97-digit number)
68406090677190397477…50437803622794543999
Discovered Prime Numbers
p_k = 2^k × origin − 1

These are the actual prime numbers discovered by this block, computed using the verified Primecoin formula. Each number has been independently confirmed to pass the Fermat primality test. Use the FactorDB links to verify any number independently.

1
origin − 1
6.840 × 10⁹⁶(97-digit number)
68406090677190397477…50437803622794543999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
2
2^1 × origin − 1
1.368 × 10⁹⁷(98-digit number)
13681218135438079495…00875607245589087999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
3
2^2 × origin − 1
2.736 × 10⁹⁷(98-digit number)
27362436270876158990…01751214491178175999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
4
2^3 × origin − 1
5.472 × 10⁹⁷(98-digit number)
54724872541752317981…03502428982356351999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
5
2^4 × origin − 1
1.094 × 10⁹⁸(99-digit number)
10944974508350463596…07004857964712703999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
6
2^5 × origin − 1
2.188 × 10⁹⁸(99-digit number)
21889949016700927192…14009715929425407999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
7
2^6 × origin − 1
4.377 × 10⁹⁸(99-digit number)
43779898033401854385…28019431858850815999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
8
2^7 × origin − 1
8.755 × 10⁹⁸(99-digit number)
87559796066803708770…56038863717701631999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
9
2^8 × origin − 1
1.751 × 10⁹⁹(100-digit number)
17511959213360741754…12077727435403263999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
10
2^9 × origin − 1
3.502 × 10⁹⁹(100-digit number)
35023918426721483508…24155454870806527999
Verify on FactorDB ↗Wolfram Alpha ↗
×2+1 →
11
2^10 × origin − 1
7.004 × 10⁹⁹(100-digit number)
70047836853442967016…48310909741613055999
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 11 consecutive prime numbers forming a Cunningham Chain of the First Kind. The prime chain origin — the large number shown above — anchors the chain and is divisible by a primorial (the product of small primes), cryptographically tying these prime numbers to this specific block.

★★★☆☆
Rarity
RareChain length 11

Approximately 1 in 1,000 blocks. Noteworthy discoveries.

How Primecoin's Proof-of-Work Constructs These Primes

Primecoin stores a value called the prime chain origin in each block. The miner found a large integer such that when divided by a primorial (the product of small primes: 2 × 3 × 5 × 7 × …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial — that divisibility is part of the proof.

Prime Chain Origin = First Prime × Primorial (2·3·5·7·11·…)
Source: Primecoin prime.cpp — CheckPrimeProofOfWork()

This is why the origin has many small prime factors — those factors are the primorial divisor. The chain then extends from the first prime using the 1CC formula:

1CC: p₁ (first prime), p₂ = 2p₁ + 1, p₃ = 2p₂ + 1, …
Circulating Supply:57,764,499 XPM·at block #6,815,050 · updates every 60s
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